Coupled-cluster theory for strong entanglement in nuclei

Abstract

Atomic nuclei can exhibit shape coexistence and multi-reference physics that enters in their ground states, and to accurately capture the ensuing correlations and entanglement is challenging. We address this problem by applying single-reference coupled-cluster theory based on spherical and deformed reference states and the tailored coupled-cluster method. The latter combines configuration interaction to capture static correlations with coupled-cluster theory for dynamic correlations. We compute the atomic nuclei ${}^{12}$C, ${}^{28}$Si, and ${}^{56}$Ni and find that the tailored coupled-cluster method and the single-reference approach based on a deformed Hartree-Fock state yield the most accurate results.

arXiv comment11 pages, 8 figures

References in corpus (57)

• Modern Theory of Nuclear Forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Coupled-cluster computations of atomic nuclei
• Self-consistent Green's function method for nuclei and nuclear matter
• Model-independent low momentum nucleon interaction from phase shift equivalence
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Generalized Unitary Coupled Cluster Wavefunctions for Quantum Computation
• Ab initio calculation of the Hoyle state
• Cloud Quantum Computing of an Atomic Nucleus
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Structure and rotations of the Hoyle state
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Lattice simulations for few- and many-body systems
• A nucleus-dependent valence-space approach to nuclear structure
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• In-Medium Similarity Renormalization Group for Nuclei
• Is there evidence for exponential quantum advantage in quantum chemistry?
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Coupled-cluster theory for three-body Hamiltonians
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Leading chiral three-nucleon forces along isotope chains in the calcium region
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• Structure of ${}^{78}$Ni from first principles computations
• Spectra and binding energy predictions of chiral interactions for 7Li
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Separation of Dynamic and Nondynamic Correlation
• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Rodeo Algorithm for Quantum Computing
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Projected Coupled Cluster Theory
• Nuclear structure with accurate chiral perturbation theory nucleon-nucleon potential: Application to 6Li and 10B
• Quantum computing of the ${}^6$Li nucleus via ordered unitary coupled clusters
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Variational approaches to constructing the many-body nuclear ground state for quantum computing
• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Ab-initio computation of neutron-rich oxygen isotopes
• Ab initio computation of charge densities for Sn and Xe isotopes
• Preparation of excited states for nuclear dynamics on a quantum computer
• Towards a formal definition of static and dynamic electronic correlations
• Numerical and Theoretical Aspects of the DMRG-TCC Method Exemplified by the Nitrogen Dimer
• Particle-number projected Bogoliubov coupled cluster theory. Application to the pairing Hamiltonian
• Shell-model coupled-cluster method for open-shell nuclei
• In-medium $k$-body reduction of $n$-body operators
• Natural orbitals for many-body expansion methods
• Projected Coupled Cluster Theory: Optimization of cluster amplitudes in the presence of symmetry projection
• Effective shell-model interaction for nuclei southeast of ${}^{100}$Sn
• Effective field theory of pairing rotations
• How to renormalize coupled cluster theory
• Computational aspects of nuclear coupled-cluster theory

Cited by in corpus (4)

• Toward experimental determination of spin entanglement of nucleon pairs
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Entanglement in multinucleon transfer reactions
• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States